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Finding the Fourth Proportional to 314,553.17, 434,083.86 and 171,313.78

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Solution

The fourth proportional to 314,553.17, 434,083.86 and 171,313.78 is: 236,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,553.17 : 434,083.86 = 171,313.78 : x
  2. Step 2: Convert to fraction form
    314,553.17/434,083.86 = 171,313.78/x
  3. Step 3: Cross multiply
    314,553.17x = 434,083.86 × 171,313.78
  4. Step 4: Simplify right side
    314,553.17x = 74,364,545,808.38
  5. Step 5: Solve for x
    x = 74,364,545,808.38/314,553.17
  6. Step 6: Final answer
    x = 236,413.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.